Lower central series, augmentation quotients and homology of groups

DOI10.1007/BF02566679zbMath0443.20042OpenAlexW2046462189MaRDI QIDQ1144145

Luzius Grunenfelder

Publication date: 1980

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139818

zbMATH Keywords

spectral sequencesgraded Lie algebralower central seriesaugmentation ideal of group algebrafree simplicial resolution

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Spectral sequences, hypercohomology (18G40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Graded rings and modules (associative rings and algebras) (16W50) Derived series, central series, and generalizations for groups (20F14) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Associated Lie structures for groups (20F40) Homological methods in associative algebras (16Exx)

Related Items (3)

INTERSECTION OF SUBGROUPS IN FREE GROUPS AND HOMOTOPY GROUPS ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ The spectral sequence of an equivariant chain complex and homology with local coefficients

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